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Finding the Fourth Proportional to 754.94, 1,131.70 and 293.02

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Solution

The fourth proportional to 754.94, 1,131.70 and 293.02 is: 439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,131.70 = 293.02 : x
  2. Step 2: Convert to fraction form
    754.94/1,131.70 = 293.02/x
  3. Step 3: Cross multiply
    754.94x = 1,131.70 × 293.02
  4. Step 4: Simplify right side
    754.94x = 331,605.08
  5. Step 5: Solve for x
    x = 331,605.08/754.94
  6. Step 6: Final answer
    x = 439.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.